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Finding the Third Proportional to 41,765,970 and 89,701,464

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Solution

The third proportional to 41,765,970 and 89,701,464 is: 192,653,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,765,970 : 89,701,464 = 89,701,464 : x
  2. Step 2: Convert to fraction form
    41,765,970/89,701,464 = 89,701,464/x
  3. Step 3: Cross multiply
    41,765,970x = 89,701,464 × 89,701,464
  4. Step 4: Simplify right side
    41,765,970x = 8,046,352,643,743,296
  5. Step 5: Solve for x
    x = 8,046,352,643,743,296/41,765,970
  6. Step 6: Final answer
    x = 192,653,316.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.